1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lapatulllka [165]
2 years ago
6

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig

ht, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average?
Mathematics
1 answer:
Kitty [74]2 years ago
6 0

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

You might be interested in
Sets L and J are defined as follows.
wlad13 [49]

Answer:

The second one:

L∪J={i,j,k,l,m,n,o}

Step-by-step explanation:

The union is the elements listed in either set.

So since l,m,n, and o are elements of set L, they will also be elements of whatever it is "unioned" with.

Since i,j,k,l and m are elements of set J, they will also be elements of whatever it is "unioned" with.

When you write the union, just be sure to include each element that occurs in either set once.

So the union of L and J is {i,j,k,l,m,n,o}.

The answer is the second one.

The intersection would actually be that upside down U thing, the ∩ symbol. The intersection of two sets is a list of elements that both sets include.  So here the intersection would just consist of the elements l amd m.

8 0
3 years ago
Read 2 more answers
A baseball player reaches first base 30% of the times he is at bat. Out of 60 times at bat,
Irina-Kira [14]
30% of 60 is (60*30/100)=18
7 0
3 years ago
What is the sum f 1.57 and 6.88
pentagon [3]
What is the sum of 1.57 and 6.88?

Ok, so lets work this out together!

Sum means add.

   6.88
+ 1.57

That would be: 

= 8.45

Hope i helped!
5 0
2 years ago
Read 2 more answers
Please help! show explanation please​
Rudiy27
Hey use photo math is gonna help you a lot
4 0
2 years ago
Decide if this statement is true or false.
AVprozaik [17]

Answer:

Step-by-step explanation:

I believe it’s false

7 0
2 years ago
Other questions:
  • Ight so the pryramid has a square base height that is 18 inches on each side. It gots a surface area of 864 square inches. Whats
    5·1 answer
  • Marlon asks a friend to think of a number from 5 to 11. What is the probability that Marlon’s friend will think of the number 9?
    15·1 answer
  • Which steps could be used to solve this story problem? Jennifer made some dough for pastry treats. She used 5 times as much flou
    11·1 answer
  • Attachment mathswatch!!!!! Please write answer only thank you!!!!!!!!
    7·1 answer
  • 3 fifths÷7 eighths please help
    8·1 answer
  • A+b+c=88<br> b+c=84<br> a=2xb<br> Help!
    8·2 answers
  • Help me ? Pleaseeeee ??!!!
    9·1 answer
  • 7th grade math please help
    12·2 answers
  • Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
    12·1 answer
  • What is the area of the parallelogram shown above
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!